Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-30T21:09:16.329Z Has data issue: false hasContentIssue false
  • English
  • Français

On a conjecture of Fuchs

Published online by Cambridge University Press:  12 July 2007

Joseph Miles  and
John Rossi
Joseph Miles
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA ([email protected])
John Rossi
Affiliation:
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

If f is an entire function of order ρ, 0 < ρ < 2−11, it is shown that the Nevanlinna deficiency d(0, f′/f) of the logarithmic derivative of f satisfies For small positive ρ, this result strengthens an earlier estimate of Eremenko et al. concerning a conjecture of Fuchs.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 5 , October 2001 , pp. 1209 - 1216
Copyright
Copyright © Royal Society of Edinburgh 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)